mathsurgery - Calculations and checking year 8

All
• Check the accuracy of the solution
• Relate findings to the original context
• Understand and use decimal notation and place value; multiply and divide integers and decimals by 10, 100, 1000, and explain the effect
• Compare and order decimals in different contexts; know that when comparing measurements the units must be the same
• Round positive whole numbers to the nearest 10, 100 or 1000, and decimals to the nearest whole number or one decimal place
• Strengthen and extend mental methods of calculation to include decimals, fractions and percentages, accompanied where appropriate by suitable jottings; solve simple problems mentally
• Multiply and divide three-digit by two-digit whole numbers; extend to multiplying and dividing decimals with one or two places by single-digit whole numbers
• Check results by considering whether they are of the right order of magnitude and by working problems backwards

Most
• Give accurate solutions appropriate to the context or problem
• Read and write positive integer powers of 10; multiply and divide integers and decimals by 0.1, 0.01• Order decimals• Round positive numbers to any given power of 10; round decimals to the nearest whole number or to one or two decimal places
• Make and justify estimates and approximations of calculations
• Strengthen and extend mental methods of calculation, working with decimals, fractions, percentages, squares and square roots, and cubes and cube roots; solve problems mentally
• Use efficient written methods for multiplication and division of integers and decimals, including by decimals such as 0.6 or 0.06; understand where to position the decimal point by considering equivalent calculations
• Select from a range of checking methods, including estimating in context and using inverse operations

Some
• Extend knowledge of integer powers of 10; recognise the equivalence of 0.1, 1/10 and 10−1; multiply and divide by any integer power of 10
• Use rounding to make estimates and to give solutions to problems to an appropriate degree of accuracy
• Check results using appropriate methods

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Calculations and checking year 8